Search a number
-
+
114876390 = 235311011223
BaseRepresentation
bin1101101100011…
…01111111100110
322000011022210010
412312031333212
5213402021030
615222111050
72563301406
oct666157746
9260138703
10114876390
1159932372
123257b486
131aa51ac5
1411384806
15a1426b0
hex6d8dfe6

114876390 has 64 divisors (see below), whose sum is σ = 287649792. Its totient is φ = 29328000.

The previous prime is 114876371. The next prime is 114876401. The reversal of 114876390 is 93678411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93319 + ... + 94541.

It is an arithmetic number, because the mean of its divisors is an integer number (4494528).

Almost surely, 2114876390 is an apocalyptic number.

114876390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114876390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143824896).

114876390 is an abundant number, since it is smaller than the sum of its proper divisors (172773402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114876390 is a wasteful number, since it uses less digits than its factorization.

114876390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 114876390 is about 10718.0403992521. The cubic root of 114876390 is about 486.1201162909.

The spelling of 114876390 in words is "one hundred fourteen million, eight hundred seventy-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 303 310 465 505 606 930 1010 1223 1515 2446 3030 3131 3669 6115 6262 7338 9393 12230 15655 18345 18786 31310 36690 37913 46965 75826 93930 113739 123523 189565 227478 247046 370569 379130 568695 617615 741138 1137390 1235230 1852845 3705690 3829213 7658426 11487639 19146065 22975278 38292130 57438195 114876390